Question

I need help to grab a line this is a stadi G checkpoint it gives you the answer if you do not know it but I don’t want just the answer on how to do it I want the exclusion of it being worked out please

Answer 1

The most direct form to graph a line, is to find two points of it and connect them with a line.

Here we have:

$y=2x-6$

Let's find the point where x = 0. To do this, we replace the x in the equation by 0:

$\begin{gathered} y=2\cdot0-6 \\ y=-6 \end{gathered}$

We have our first point: (0, -6)

Next let's find the point where y = 0. Again, we replace y in by 0 in the equation:

$\begin{gathered} 0=2x-6 \\ 6=2x \\ x=\frac{6}{2}=3 \end{gathered}$

We have our second point, (3, 0)

Now all we have to do is plot the points (0, -6) and (3, 0) in the plane, and connect them with a line, and then the line is graphed

The line should look like this: